Methods of Applied Mathematics (U01479)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-2-MAM

Core second year course for Honours Degrees in Mathematics and/or Statistics.

Syllabus summary: First order linear ODEs, second order linear ODEs with constant coefficients, and equivalent systems. Fourier Series. Vector fields: grad, div, curl, Stokes and divergence theorem; applications.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-2-SVC

? Prohibited combinations : MAT-2-am4, MAT-2-mm4, MAT-2-mc4, MAT-2-me3, MAT-2-me4

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Year 2), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) 30 minutes per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
08/01/2008	12:10	13:00	Lecture Theatre A, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	12:10	13:00	KB
Lecture	Friday	12:10	13:00	KB

? Additional Class Information : Tutorials: Th at 1110 and 1210.

Summary of Intended Learning Outcomes

1. Solution of any second-order linear homogeneous equation or system with constant coefficient, and inhomogeneous equation with trig or exponential or constant or periodic rhs, or by variation of parameters.
2. Solution of first order linear ODE by integrating factor.
3. Solution of boundary value problems for y" + ly = 0
4. Knowledge of Euler's formulae for coefficients of Fourier Series (sine, cosine and full range), and ability to compute with these (up to piecewise linear functions)
5. Computation of grad, div, curl
6. Use of Stokes' and divergence theorem in simple explicit cases
7. Ability to derive the heat equation in 3d.